3(2x-5)2x=-23

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Solution for 3(2x-5)2x=-23 equation: 


Simplifying
3(2x + -5) * 2x = -23

Reorder the terms:
3(-5 + 2x) * 2x = -23

Reorder the terms for easier multiplication:
3 * 2x(-5 + 2x) = -23

Multiply 3 * 2
6x(-5 + 2x) = -23
(-5 * 6x + 2x * 6x) = -23
(-30x + 12x2) = -23

Solving
-30x + 12x2 = -23

Solving for variable 'x'.

Reorder the terms:
23 + -30x + 12x2 = -23 + 23

Combine like terms: -23 + 23 = 0
23 + -30x + 12x2 = 0

Begin completing the square.  Divide all terms by
12 the coefficient of the squared term: 

Divide each side by '12'.
1.916666667 + -2.5x + x2 = 0

Move the constant term to the right:

Add '-1.916666667' to each side of the equation.
1.916666667 + -2.5x + -1.916666667 + x2 = 0 + -1.916666667

Reorder the terms:
1.916666667 + -1.916666667 + -2.5x + x2 = 0 + -1.916666667

Combine like terms: 1.916666667 + -1.916666667 = 0.000000000
0.000000000 + -2.5x + x2 = 0 + -1.916666667
-2.5x + x2 = 0 + -1.916666667

Combine like terms: 0 + -1.916666667 = -1.916666667
-2.5x + x2 = -1.916666667

The x term is -2.5x.  Take half its coefficient (-1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
-2.5x + 1.5625 + x2 = -1.916666667 + 1.5625

Reorder the terms:
1.5625 + -2.5x + x2 = -1.916666667 + 1.5625

Combine like terms: -1.916666667 + 1.5625 = -0.354166667
1.5625 + -2.5x + x2 = -0.354166667

Factor a perfect square on the left side:
(x + -1.25)(x + -1.25) = -0.354166667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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